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when toggle format what by license comment
Jun 15, 2022 at 17:52 history edited Michael Hardy CC BY-SA 4.0
Sizes of delimiters and other copy-editing.
May 3, 2020 at 14:53 comment added Aksakal @Aerin this isn’t the proof but you could do the following. Start with the moments that you calculated from PDF. Then plug these into Taylor expansion as its coefficients. If this renders a function then it is MGF. By construction it contains all moments.
Apr 30, 2020 at 21:04 comment added kjetil b halvorsen @aerin: If you can reconstruct the pdf from the pdf, then everything you can calculate from the pdf can be calculated from the mgf. So for a proof you need to find such a reconstruction formula ...
Sep 16, 2019 at 4:21 comment added aerin How can we prove that MGF & PDF contain the same amount of information?
Jan 25, 2019 at 21:15 comment added ColorStatistics @whuber: Thank you, whuber. I'll study that reference. This is a topic I am looking to understand better.
Jan 25, 2019 at 20:27 comment added whuber To appreciate the point made by @ColorStatistics, please see stats.stackexchange.com/questions/25010.
Jan 25, 2019 at 20:14 history post merged (destination)
Jan 25, 2019 at 19:09 history edited Aksakal CC BY-SA 4.0
added 861 characters in body
Jan 25, 2019 at 18:53 comment added ColorStatistics Can you please expand on the "everything" that it encodes about the distribution?
Jan 25, 2019 at 18:51 history answered Aksakal CC BY-SA 4.0